The battery makers recommend not charging any bike battery at a rate greater than 1/10 of the battery's amp-hour rating. The amp-hour rating is typically concealed in the model designation. For example, a YB12LA-2 is a 12 A-H battery, so 1.2 amps is the way to go. In a perfect world. In reality, your 2A charger will be fine for all but the tiniest little scooter batteries.
When you top up the cells with distilled water, wait for 15-30 minutes for the porous lead plates to soak up the water, then top up again, then put it on charge.
Sometimes the plates warp and short out against each other, or short due to crud sitting in the bottom of the case. In that event, you can sometimes use a hose to flush out the gunk and then try to refill and charge.
"Battery Tender" is a good brand of charger that will keep a battery charged without overdoing it.
If this one ends up toast, you can sometimes save a little core charge if you turn in the old one when getting the new one. That way, it gets recycled too.