Definitely need a new battery. Had to jump start it at the weekend and struggled to start it this morning, not enough juice.
Recommended brand?
Yeah use one of the plug strips that you push in from the outside, if the hole is central a garage might be able to plug it, they'll take off the tyre and put in a mushroom plug from the inside.
Poor bike, what have you done to it
Goop is designed to prevent or fix smaller stuff, perfect for the slow leak I got after about 1k miles. It just washes off with water, no problem cleaning the mess off my bike when I got that bigger puncture. Plus it'll help slow down a bigger puncture. The one I got a few days ago might have left me on the side of the road without the goop.
Can't see why they'd have a problem plugging a tyre that has Goop, it does just wash out.