Here are my two questions:

1. Does the Panzer Crew wear Winter Waffen-SS Palm Tree pattern (Palmenmuster)?



2.What is the Camo pattern on the painted NCO’s trousers?

Is he wearing the M40 Kharkov parka and M40 trousers? In which year we often see this outfit on the battlefield?

Answering to no. 1 only :

The camo doesn't look like the palm tree scheme. It lacks the typical "stripes" that resemble palm leaves. You can check this site here which is rather exhaustive in showing all German camo schemes for uniforms during ww2 as well as their derivatives:


https://www.forum-historicum.de/tarnmuster-der-deutschen-armee.html

To me, the scheme you show rather looks like the autumn version of the plane tree scheme (platanenmuster)or the oak tree scheme (Eichenlaubmuster).
Just my two cents... Cheers

Ditto. Palm tree camo had a distinctive long-leaf pattern (probably why it was called "palm-leaf"). Agree with Oak-leaf pattern.

Certain items of Waffen SS clothing were limited to certain camoflauge patterns. The Winter Clothing worn by the tank commander was never issued in "Palm Leaf"(Palmenmuster) pattern, always in "Oak Leaf"(Eichenlaubmuster); although of course, all these names are post-war appelations which describe the shape of the blotches. "Palm Leaf" seems to have been reserved for early smocks.The Winter Clothing was almost always issued in "Autumn"(brown/grey/orange)reversible to white, although there are examples in Spring (light and dark green)/white (see Amodio/Stevens "Waffen SS Uniforms in Colour Photographs").This clothing did not see widespread use until the last year or so of the war, previous to that the reversible clothing was in grey green or grey reversible to white.
Between 1942 and the issue of the Camoflauged Reversible Clothing, the Waffen SS had their own unique winter parka as worn by the painted figure in the second photo (what you call the Kharkov jacket, because this action is the first time this clothing was seen in photographs). This came in a single colour which varied in shade from darkish plain grey to a sort of khaki colour, via field grey. It was never issued in camoflauged form and was a pullover type garment with a fur lined hood.
I can't really identify what camo this figure is wearing on the trousers - it may be a depiction of the "Pea" pattern, the M44 Camoflauged suit trousers, but to be honest the trousers on the model are too full in cut to accurately depict this clothing. The Italian Camoflauge might be more appropriate, as worn by e.g. HJ and certain sub units of "LAH" or I SS Pz Kp. This was a green, brown and dark yellow mix, quite unlike other W-SS patterns and more like British post-war DPM but this is only really seen from Normandy on. More likely they are the overtrousers which go with the parka, which should not be camoflauged.

I'd say Eichenlaubmuster for 1) and Erbsenmuster for 2).