Replacing broken capacitors with ones that have bigger capacitance
I think it'll work as you want - there's a seriously good chance it won't hurt anything. After all 5 x 820uF (4100uF) is only a bit bigger than 4 x 1000uF. 

The 470uF being a bit bigger than the 330uF shouldn't really be a problem. These won't be timing capacitors and if they are only on internal DC power lines going a bit bigger or a tad smaller shouldn't cause problems.

It's worth a shot.