It could also be just a bad battery connection?? Personally I'd take the remote apart and look for corrosion and clean the contacts, once apart I'd probably just replace the battery anyway, they are generally quite cheap(couple of bucks in a 3 pack at my local big box hardware store). Again personally I'd replace the smaller capacity 2025 with the 2032 which is the same price but half again the capacity. Note it's a bit thicker than the original and might require a bit of squeezing to get the remote back together but both my remotes did accept the larger battery.
Oh on your picture, you've put on 14.5k miles in 7 months
2012 SL purchased used 2/'16
2013 S w/QC purchased new
Juicebox Premium 40a L1/L2 EVSE, Ebusbar 16a L1/L2 EVSE
'12 EVSEupgrade'd 20a L1/L2 EVSE, '13 EVSEupgrade'd adjustable 6-20a L2, 6-13a L1 EVSE
Zencar 13, 20, 30a L1/L2 portable EVSE