The 5 gallon cooler should be able to hold 12 lbs of grain and 3 1/4 gallons of water (see the Green Bay rackers "Can I Mash it" calculator here:https://www.rackers.org/calcs.shtml) so you could do alright with 1 or 2 batch sparges to get your starting volume but your real limitation is that 4 gallon kettle....
You'd probably want an 8 gallon kettle minimum... 10 preferably... for 5 gallon batches...
If you're OK with Aluminum for a boil kettle, you can find some decent 10-15 gallon kettles in the $30-40 if you do a little sleuthing on-line. I got one like this:
https://www.amazon.com/dp/B000X1MG1M/?tag=skimlinks_replacement-20
from Staples (the office supply store) for $25 after coupon w/ free shipping, a couple years ago. You just gotta poke around online and sieze the moment when it appears.
If you'd rather go stainless, the bare-bones 40 qt bayou classic is only about $60 https://www.amazon.com/dp/B00MIA5OQK/?tag=skimlinks_replacement-20
While the slight nicer 42 qt Aluminum set is only about $65 https://www.amazon.com/dp/B0000BXHL3/?tag=skimlinks_replacement-20
So I could just combine the 2 worts into the fermenter if I did 2 different boils with the recipe cut in half??
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