would just 2 times a week be good. I train 6 times a week. 4 days doing bag + mitt work 5 days doing bjj and 2 of those days we usually do free sparring.
Well, this is more suited to the stand-up sub-forum.
I would say:
Light sparring 4 times a week at least (i.e: every training session).
Heavy sparring... hmm... probably after the 2-3 month mark, and only with guys on your level.
I can’t stress enough how important it is to have multiple sparring partners, with all of them near your skill/experience level. When I first started out in combat sports (it was boxing about 4-5 years ago), it was at a very serious amateur gym. I went with a few friends, all of whom were national team members and accomplished competitors. When I sparred with them, 95% of the time it was pretty light (otherwise I’d have CTE by now xD).
However, the most major improvement I made was when I left that gym (a year later) due to trouble with the trainer and started boxing and kickboxing in another place. There, I started sparring hard often for the first time with guys at my level, and both my defensive and offensive acument sky-rocketed.
So for now, stick to light sparring every training session. Go for speed, but not power when you spar.
In a month or two, find a few guys you know to not be meatheads and who can control themselves, get a good headguard and 16oz gloves and go at it a bit harder. In time, you can substitute the light sparring with heavier sparring like so:
2-3 days mitts, bags and light sparring.
1-2 days mitts and hard sparring.
^^(Pretty much what I’m doing atm, and I’m improving constantly like this).