I must repair the slides in our kitchen. Can anyone say if these are the correct type? They say side mount but look like the right kind, just not sure

Looking for some insight on what is possible with the battery - been reading about trickle chargers and we will get one asap for over winter charging. I think all will be stored outside but I gather this is fine for battery life. Am I correct in my understanding that this is a crank battery? Can we power much else other than the two lights over a few days away? Are there options other than solar to charge while traveling? I have a lot to learn; should I be researching inverters?