Regarding the TAG-Heuer service, I wasn't very happy about it, after paying 1000€ i would expect more "love" on a vintage piece, but the overall result was good.
They did replace the handels, buttons, glass and either changed or cleaned the dial. The strap sent with it was not the original but at least I got the Heuer lock.
I have been searching for a 73353 in internet but still was not able to find one.

Anyway thank you again for your expert opinion.

: Thanks for posting the photos Pedro.

: Nice watch and they've been quite sympathetic with it - the case
: hasn't had its model and serial numbers polished off, for
: example. The hands are the right type for the watch too - one of
: the things I was wondering about when you mentioned it had been
: restored. Personally, I'm not too keen on relumes - the hands
: are fine, but the markers are a bit blobby in a couple of
: places. Still, that's a personal preference of mine and nothing
: to affect the value.

: I'd stick with the range of values in my original reply. If you are
: thinking of selling, you can stress the fact that it has been
: serviced. I'd lean towards keeping it though, these aren't the
: easiest of watches to replace if you find yourself hankering
: after one again in the future!