I need help with a propositional logic problem please?

I would use the method of 'backward fell swoop' in which validity follows, if by taking the conclusion to be false, it renders the premises false.*
In this case, choosing S false clearly gives either Q or R ( or both) false in 3. and P or R false in 2, thereby making 1 false since at least one of Q, P or R must be false. Therefore the argument is valid.

*Refer to the truth table for > to understand this. The premises are a conjunction > the conclusion.

SLIGHT CORRECTION with respect to the falsity of 1...this is not due to 'at least one' of P Q R being false.

If R is true from 2 and 3 then both P and Q must be false making 1 false.
Alternatively if R is false from 2 and 3 then 1 is false.