Unless you have a reentry permit, you'll have problems trying to reenter the US with the green card, because you've been outside the US for over a year.
However, if you officially surrender your green card at a US consulate with form I-407 you can easily obtain a tourist visa. You should be able to do both the GC surrender and visa application in the same visit. You may need to request some kind of emergency processing, with proof of the funeral or of his death, so you can get a consular appointment and get the passport back fast enough.