No. Parks have no apparent impact on generic industry from my testing.
What I did was placed 2 little isolated groups of industry along the same road, and placed an absurd amount of parks near one group of them. Both groups upgraded more based on OTHER available services...most notably when I placed a rail station right next to them (they LOVE that).
Just placing parks didn't seen to change one group from the other group. Side note: I know offices, however, care about land value and parks can raise that.
I know that parks give little happy icons when you put them near industrial areas and incinerators give the sad faces (tying into your 2nd question), but unless there is some hidden metric that is telling one sim to go work at the "nicer" industrial building (or perhaps affecting health), they have no impact on actual performance.