There's no harm at all, if you want to, in drinking a few glasses of wine a week.
Some of us (I'm 43 and include myself in this) find that (annoyingly) we just can't tolerate alcohol (well, wine, in my case, I haven't ever liked anything else) as we get older. Even one glass of wine and I will feel it the next day, I'll have a crap night's sleep and I'll be woolly-headed.
On the other hand, sometimes that glass of wine is worth it, I like it, I relax and then perhaps do sleep better than usual, because I am relaxed.
But hitting the upper limit consistently, is not great. Not desperate but not to be recommended, especially if you are overweight or have other health issues - the wider context matters.
Also, you say you drink half a bottle of wine 3 times a week and work that out at 1.5 bottles. It might be but it could be more as the 'half a bottle' gauge is sort of vague. You'd have to firmly watch what you buy and then drink to know, really, how much you drink.
A PP talks about sugar - this is relevant. Sugar can be really detrimental to our health and wellbeing, especially as we age. (And I say this reluctantly, as I love chocolate, and feel happy to eat it as I exercise a lot and have no weight issues. But I know it's not great for me, my skin etc. Definitely feels - for me - aging).
Given that you would like to lose weight, and you have some stomach concerns, stopping altogether for a while would be a good idea.