I have not looked at the link for the battery above listed, BUT, West Marine has, other places also have a size U1?!?! IIRC, you can get this size in a house battery style vs a starting or dual style. I've had some interstate versions thru the years to use as a light usage in a Wells Cargo trailer, along with two trailers with electric brakes. No real need to run what you have, probably a size 24 at the wt you have mentioned, These are around 20 lbs, would run even non-led running lights for some time.
Issue you may need to look at, ie how long do you run the lights at night? if you end up using lights for say 8 hrs, useage is 10 AHRs per hr you have used 80 AHr's of battery, draining a typical size 24 5 AHrs beyond the battery itself!
Here is a link
to the AGM version WM has, in store are some lead version's, Interstate has lead versions etc. Just remember size u-1. Here are actual base specs for the battery.
AGM 12V Battery, Group U-1, 32 Ah, 240 MCA, 48 Res. Min., 8.3"L x 5.1"W x 7.25"H, 24lb