MPPT works by finding the exact crossing point of voltage and amperage where the solar panel is putting out the most watts at this particular moment. Then it adjusts the load on the panel to keep it most efficiently loaded. That "Maximum Power Point" changes as the light on the panel changes, and as the panel temperature changes.
So, let's say your panel puts out a Vmp (Voltage Max Power) of 15v and you're battery is at 14.4v and the MPPT logic decides that at this moment, the most efficient load on the panel is 14.4v.
In other words, MPPT is making no difference. A lot of MPPT controllers, use the indicator light to indicate that the MPPT is actually providing an extra "boost" (it isn't really a boost, but "boost" sounds good to the marketing guys). If the situation of the solar panel and battery at this moment is such that the MPPT isn't doing anything, then the "MPPT Boost" light isn't going to come on.
As for the charge light. If the battery is already charged when you hook up the solar gear, then what is the solar gear going to do?
Nada. The battery is already charged so there's nothing for it to do.
This is all of course, just remote guesswork, since I don't know if your battery was charged or not when you hooked up the solar. Your post doesn't say.
Who made the controller?
Did you check the solar panel to make sure it's actually putting out power?
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