LiFePO4 (LFE) cells charge at 3.6 V/cell, but do not float charge them at that. Charge to 3.6 or 3.65v/cell, balance them so each is equal (looks like your battery either has internal balancing or no balancing, if the former, then dont worry about balancing, if the latter, I'd be wary) then stop charging until drops below 3.25V/cell. So since your battery is a 4S battery, charge to 14.4/14.6V, wait for the current to drop, to C/10 or C/30 (not a lot of extra charge gets accumulated waiting for C/30, but if every last bit counts...) It should 'rest' at 3.3v/cell, or 13.2V, and then if it drops to under 13.0V, you can top it up again. Float charging LFE cells at the 3.6V leads to short cell life.
Luckily, this charge regime is fairly compatible with 12V Lead acid systems, hence the availability of drop in replacements for cars. A 13.8V float after a peak to 14.6, isnt ideal, but workable.