All information below is from my experience, I offer these statements as is, as with e-bikes, YMMV.
Are there any special conditions or guidelines to consider when recharging?
LiFePO4 battery packs are very robust, but the remember, this is a very powerful
package, a short can start fires quite easily.
Are things like environmental temperature, battery temperature, remaining charge, charging current important ?
The environmental limits are in the battery specs online, but in general if your puppy would not like it your battery would not.
Is it okay to discharge the battery completely as in running the motor until it won't go anymore and then charge it?.
Yes, one time, but do not disconnect the battery and reconnect it. The lower voltage
could be detected as a 36V pack by some controllers, and that would allow you to discharge your cells below the minimum cut-off voltage, damaging the cells.
Is it bad to charge the battery after short rides when the battery still has 50% to 85% charge remaining?
Some say that the charging cycles of a battery are per charge, not per Watt/Hour.
I say the risk of damage from turning on a low battery are greater than the risk of (possibly) shortened life.
Is it okay to leave the charger plugged into the battery all the time with the charger on even after battery is charged?
While I do this sometimes, I can't recommend leaving a fire hazard plugged in unattended. So my answer is no it's not ok.
Is it possible to connect a fully charged 48v10ah battery with a fully charged 48v8ah battery in parallel to increase distance?
Kind of, but I don't suggest it. When you first connect them you are going to have
potentially different charging voltages and a short between them until they equalize.
I have used a 12 V lamp to get the batteries to the same voltage in my experiments, but this turned out to be a royal pain.
It turned out to be easier to call the 8AH battery a spare that you swap in when the 10AH battery reaches it's cutoff voltage.
Hope that answers your questions.
Elmer
Is the standard charger for the 48v10ah battery from GM sufficient to charge a 48v10ah battery AND a 48v8ah battery wired in parallel?