take a look at page 90-92 in this manual
https://download.lenovo.com/consumer/mobiles_pub/ideapad_z380_z480_z485_z580_z585_hmm_1st_edition_feb_2012_english.pdf
it contains a list of compatible CPUs in your laptop. you can probably order on of these CPUs of ebay and upgrade, though i wouldnt pick up more than a dualcore.
this might improve performance slightly, but i wouldnt really recommend doing something like this unless you really want to
your laptop uses the socket G2 which allows certain CPUs to be used. i know this because ive been looking at a CPU upgrade in my laptop for a while.
Yes cheap, thats the idea, there is nothing overly wrong with ether the case or PSU, they are not the best ofc, but they do the job and they are cheap. Its not like they will fall apart within a month.