I fish jarrow park often and it's not a bad mark, 1 min from the car, plenty of space, railings, well lit, seats, no snags...and sometimes there's fish (loads of crabs as well though, loads!). I usually fish right in the middle.
there's jarra beach as well (next to the police marine hq), but that's a lot snaggier and more tide dependant, and you'll need to take a rod rest.
Up river you're onto the Hebburn marks and down river the next marks are Shields - mill dam, market docks ('the spirit' and 'codgers corner' are good marks) then the walkway.