yes, inflate until they sit nicely on the rim, usually you do get a pop
if they aren't seating for some reason just be a little careful, I have heard horror stories of stans rims failing at high pressures. If you need to go much past 65 PSI it is probably worth taking them off and trying again rather than going higher.
solution is a nice to have for proper UST, needed for tubeless ready and normaly tyres. In practice though it is handy to have punctures seal so I always put some in whatever the tyre.
If you put a fair bit in (~ 80 ml) then most punctures will seal. I just lay the bike flat so that the hole is at the bottom so the sealant is covering it and empty a CO2 canister in. Unless it is a real gash it seems to sort things out for most pucntures.
good luck! there are various videos around if you cant get them onto the rims