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There is no stamp. In many countries it is not legal to hallmark and item where only part of it is gold or other precious metal. AFAIK yes the gold parts on those are indeed solid gold but we are talking a gram or 3 at most so it doesn't make sense to consider parting it out for the gold. The rest is stainless steel. It sounds like the buyer is messing you about to be honest, but if you have made a big deal about the gold components being solid that was perhaps a mistake as there is no easy way to prove it.
ps I am almost scared to ask what a 'pant bank' actually is !!!!
pps 1445 is the movement (calibre) number, not a ref for the watch itself.
I guess by solid gold you mean 18 carat gold (75% gold) solid gold would be 24 carat