There will be some time around each relay where you will be going at STL speeds, the precision required to hit a relay just right while going at FTL is quite frankly ridiculous. But that shouldn't be more than a few hours in total.
Wow. There must be a good number of relays between Mindoir and Earth or maybe having to pass customs checks?
Battles typically play out as artillery duels fought at ranges measured in thousands of kilometers, though assault through defended mass relays often occur at "knife fight" ranges as close as a few dozen kilometers.
Seems to imply that, at least during conflicts, ships drop out of FTL within a hundred kilometers of the relay. So barring things like customs, random inspections and any delays from traveling through a busy location like Arcturus or Sol it shouldn't really take that long.