Can anyone advise me on HAAT

Here is the standard teams for haat.

A CLS team isn't listed. I think he is generally used with r2d2 and other rebels in phase 4.

https://i2.wp.com/swgohindepth.com/wp-content/uploads/2017/10/heroic-prep-list-by-morningstar-oct.jpg?zoom=2&resize=785%2C1116&ssl=1

Make sure to get Palpatine next month as he is in a few of these teams.

You don't have any of these teams but I would pick one and work towards it. Preferably phase 3 as a lot of smaller guilds find it tough. Also you have a couple of characters in some of these teams already at 7 star. You are 3 out of 5 towards tiepatine and you will get the Emperor next month in the event. Theory crafting but you could probably replace sun fact with storm trooper.

Also I forget but its tuned to gear x or xi and you have very few characters that have that ready.

g11 is the minimum for a haat team, lvl 85 is quite obvious, zeta's should be available and probably the easiest team to get that does a lot of damage is resistance. If you even manage to get bb-8 you'll do a few millions of damage in both p2 and p4. For p3 and p1, it's usually TMR that works best so anything like CLS and Han combined with some other toons should work, Thrawn is quite helpful on p3.

Also something extremely important mods - without them you can't do anything.