McGangsta

Yeah, 200-pin SODIMM is DDR2, 204-pin SODIMM is DDR3, and 260-pin SODIMM is DDR4. The other one's are standard DIMMs, but yeah for DDR3 for a laptop you need 204-pin

You need 204-pin, the only other filter option that I see is 240, but that's DDR4L RAM anyway. I only see a 204 pin option for DDR3L SODIMM. However, your sticks do appear to run at 1.35V so I would keep an eye out for that.

no.

Yes. The stock cooler can't handle it. You'll probably need to get a Noctua or a decent AIO.

It's slightly better than the MSI B450 boards while also costing less.

If you don't need a monitor now, I'd go for this:
 
PCPartPicker Part List: https://pcpartpicker.com/list/bhzcq3
CPU: AMD Ryzen 5 2600 3.4 GHz 6-Core Processor  ($117.68 @ Amazon) 
Motherboard: MSI X470 GAMING PRO ATX AM4 Motherboard  ($83.81 @ Amazon) 
Memory: Patriot Viper 4 16 GB (2 x 8 GB) DDR4-3200 Memory  ($62.99 @ Amazon) 
Storage: ADATA SU635 480 GB 2.5" Solid State Drive  ($44.99 @ Amazon) 
Video Card: Gigabyte GeForce GTX 1660 Ti 6 GB OC Video Card  ($259.99 @ Amazon) 
Case: Fractal Design Focus G ATX Mid Tower Case  ($52.00 @ Amazon) 
Power Supply: Corsair CXM 650 W 80+ Bronze Certified Semi-modular ATX Power Supply  ($68.95 @ Amazon) 
Total: $690.41
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2019-11-12 10:41 EST-0500

PCPartPicker Part List
CPU: AMD Ryzen 5 2600 3.4 GHz 6-Core Processor  ($117.68 @ Amazon) 
Motherboard: MSI X470 GAMING PRO ATX AM4 Motherboard  ($83.81 @ Amazon) 
Memory: Team T-FORCE VULCAN Z 16 GB (2 x 8 GB) DDR4-3000 Memory  ($49.99 @ Newegg) 
Storage: PNY XLR8 CS3030 250 GB M.2-2280 NVME Solid State Drive  ($39.99 @ Walmart) 
Storage: Seagate Barracuda Compute 2 TB 3.5" 7200RPM Internal Hard Drive  ($49.99 @ Amazon) 
Video Card: ASRock Radeon RX 580 8 GB Phantom Gaming X Video Card  ($169.99 @ Newegg) 
Case: Cougar MX330 ATX Mid Tower Case  ($44.00 @ Amazon) 
Power Supply: Rosewill Capstone 550 W 80+ Gold Certified Semi-modular ATX Power Supply  ($44.99 @ Newegg) 
Monitor: Acer SB220Q bi 21.5" 1920x1080 75 Hz Monitor  ($89.99 @ Amazon) 
Total: $690.43
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2019-11-12 09:13 EST-0500

its roughly speaking 10% faster on average. 
 
more in some titles, less in others. 
 
the gtx 1660 just makes a lot more sense than the rx 590. 

PCPartPicker Part List
CPU: AMD Ryzen 5 3600 3.6 GHz 6-Core Processor  ($194.79 @ OutletPC) 
Motherboard: MSI B450 Gaming Plus MAX ATX AM4 Motherboard  ($104.99 @ Amazon) 
Memory: GeIL EVO POTENZA 16 GB (2 x 8 GB) DDR4-3000 Memory  ($58.99 @ Newegg) 
Storage: Intel 660p Series 1.02 TB M.2-2280 NVME Solid State Drive  ($99.89 @ OutletPC) 
Video Card: EVGA GeForce GTX 1660 6 GB XC BLACK GAMING Video Card  ($209.99 @ Amazon) 
Case: Fractal Design Focus G ATX Mid Tower Case  ($55.88 @ Amazon) 
Power Supply: Corsair CX (2017) 550 W 80+ Bronze Certified ATX Power Supply  ($64.98 @ Amazon) 
Total: $789.51
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2019-10-17 11:41 EDT-0400
 
here, you dont have to care about updating the BIOS. and its without mail in rebates. 

Ok, using input from all you guys and some more research, I managed this build that actually has the 3rd gen Ryzen, for about the same price as those above.
Again, any and all help is appreciated. 
 
PCPartPicker Part List Type Item Price CPU AMD Ryzen 5 3600 3.6 GHz 6-Core Processor $194.79 @ OutletPC Motherboard MSI B450 Gaming Plus ATX AM4 Motherboard $84.89 @ OutletPC Memory Corsair Vengeance LPX 16 GB (2 x 8 GB) DDR4-3000 Memory $64.98 @ Amazon Storage Intel 660p Series 1.02 TB M.2-2280 NVME Solid State Drive $99.89 @ OutletPC Video Card Sapphire Radeon RX 590 8 GB PULSE Video Card $199.99 @ Newegg Case Fractal Design Focus G ATX Mid Tower Case $55.88 @ Amazon Power Supply Corsair CXM 550 W 80+ Bronze Certified Semi-modular ATX Power Supply $69.88 @ OutletPC   Prices include shipping, taxes, rebates, and discounts     Total (before mail-in rebates) $800.30   Mail-in rebates -$30.00   Total $770.30   Generated by PCPartPicker 2019-10-17 11:26 EDT-0400    

the gaming plus has bios flashback, all you need to do is to put the BIOS file on a usb drive, plug it in and press a button.

PCPartPicker Part List
CPU: AMD Ryzen 5 2600 3.4 GHz 6-Core Processor  ($118.00 @ Amazon) 
Motherboard: MSI B450 Gaming Plus ATX AM4 Motherboard  ($84.99 @ Amazon) 
Memory: Corsair Vengeance LPX 16 GB (2 x 8 GB) DDR4-3200 Memory  ($69.98 @ Amazon) 
Storage: Team MP34 1 TB M.2-2280 NVME Solid State Drive  ($106.99 @ Newegg) 
Video Card: XFX Radeon RX 5700 8 GB Video Card  ($289.99 @ Amazon) 
Case: GameMax Gamboge ATX Mid Tower Case  ($42.39 @ Amazon) 
Power Supply: Corsair CX (2017) 550 W 80+ Bronze Certified ATX Power Supply  ($64.98 @ Amazon) 
Total: $777.32
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2019-10-17 09:03 EDT-0400

PCPartPicker Part List Type Item Price CPU AMD Ryzen 5 2600 3.4 GHz 6-Core Processor $117.90 @ OutletPC Motherboard MSI B450 TOMAHAWK MAX ATX AM4 Motherboard $114.99 @ Amazon Memory Corsair Vengeance LPX 16 GB (2 x 8 GB) DDR4-3200 Memory $69.98 @ Amazon Storage Intel 760p Series 256 GB M.2-2280 NVME Solid State Drive $64.99 @ Newegg Storage Seagate Barracuda Compute 2 TB 3.5" 7200RPM Internal Hard Drive $54.89 @ OutletPC Video Card Sapphire Radeon RX 590 8 GB NITRO+ SE Video Card $209.99 @ Amazon Case Rosewill TYRFING ATX Mid Tower Case $49.99 @ Amazon Power Supply EVGA BQ 500 W 80+ Bronze Certified Semi-modular ATX Power Supply $64.98 @ Amazon   Prices include shipping, taxes, rebates, and discounts     Total (before mail-in rebates) $762.71   Mail-in rebates -$15.00   Total $747.71   Generated by PCPartPicker 2019-10-17 08:58 EDT-0400   I kinda did the same as @Plouffe. I didn't change the PSU or case, but I changed the SSD and added a HDD. This way you can have your OS on the SSD and all your photos and stuff on the HDD.

PCPartPicker Part List Type Item Price CPU AMD Ryzen 5 2600 3.4 GHz 6-Core Processor $117.90 @ OutletPC Motherboard MSI B450 TOMAHAWK MAX ATX AM4 Motherboard $114.99 @ Amazon Memory Corsair Vengeance LPX 16 GB (2 x 8 GB) DDR4-3200 Memory $69.98 @ Amazon Storage Intel 660p Series 1.02 TB M.2-2280 NVME Solid State Drive $99.89 @ OutletPC Video Card Sapphire Radeon RX 590 8 GB NITRO+ SE Video Card $209.99 @ Amazon Case Fractal Design Focus G ATX Mid Tower Case $55.88 @ Amazon Power Supply Corsair CXM 550 W 80+ Bronze Certified Semi-modular ATX Power Supply $69.88 @ OutletPC   Prices include shipping, taxes, rebates, and discounts     Total (before mail-in rebates) $773.51   Mail-in rebates -$35.00   Total $738.51   Generated by PCPartPicker 2019-10-17 08:53 EDT-0400    
Did 3 minor changes. Better PSU, case and cheaper SSD. You can add a 2TB 7200RPM HDD too.

I'm running an MSI b350 Bazooka that I got refurbished for $35.  It has 32 GB of 3600Mhz Ram and an Rx570.  
You can run a 3600 on just about anything, with the right BIOS.

The B450 tomahawk would be pretty good. No need for X570 with a 3600.