If the car won't lock electronically AND you get clicking when trying to start, it 100% sounds like the battery to me.
And good call on charging the battery, Boosting it will put excess wear on the charging system.
IF you need a new battery, get one from Costco. There are only 3 major lead acid battery producers. Costco's Kirkland uses Johnson Controls IIRC, so it's as "good" as any other major brand because it's identical in every way. The reason you want Costco is because they have a crazy 96 month warranty. The first 4 years, (48 months), you can even swap the battery at the return counter for free.
And good call on charging the battery, Boosting it will put excess wear on the charging system.
IF you need a new battery, get one from Costco. There are only 3 major lead acid battery producers. Costco's Kirkland uses Johnson Controls IIRC, so it's as "good" as any other major brand because it's identical in every way. The reason you want Costco is because they have a crazy 96 month warranty. The first 4 years, (48 months), you can even swap the battery at the return counter for free.