Absolutely no judgement on you whatsoever if you decide to use a weight loss drug to help you. Life is hard sometimes; eating unhealthily is easy; you've got to do what is right for you.
To share a personal story... I was in far worse straights than you. I'm slightly taller but was 15 stone by the time my DD got to the age of 2. Obese, completely devoid of physical confidence, and eating junk food a lot whilst always rushing about and stressed. I had previously always had a healthy BMI and done a lot of exercise so I wasn't used to it. Got really down.
I was able to make the change I needed to without using drugs to help but this wasn't some triumph of amazing willpower on my part. I decided to join Slimming World because I know I'm more easily motivated by a sense of accountability in front of others by any accountability to myself. Went religiously every week even if I knew I'd had a bad week. I don't think its the specific programme that has helped necessarily (although I quite like it) - more the amazing people I've met and the ritual of the weekly weigh-in. I've also basically decided on the rule that I won't eat anything 'unhealthy' (by which I mean calorific and snacky - we know what we mean by this I think, although I don't love to use the term in general) until the evening when I'm in my house. If I didn't organise myself a healthy lunch or snack or whatever, I go without. No munching anything other than fruit or healthy pre-cooked meals in my car or in my lunch break at work. I still have treats but they're pre planned and shared with my DH. Mindless eating has almost disappeared from my life.
I can't claim to have some magical elixir because there isn't one, and I can happily admit that I struggled for a long long time before finding the lifestyle formula that has helped me. But I'm now 5 months in and not far off 4 stone down (a lot of that was rapid at the start.. have been fairly stable and losing very slowly and gently for the last month). Not feeling hungry or deprived or grumpy. Not doing much more exercise than I used to - still working a stressful full time job whilst being, I hope, a vaguely decent mum and wife, still having the odd takeaway and boozy might, but feeling a lot better about myself.
Of course, this wouldn't have been possible for me without a DH willing to support me and able to take our DD when I'm out at groups, and it was made a lot easier for me by my physically having the time and money to spend on my SW membership and on at least sometimes preparing healthy home-cooked meals. Your own lifestyle and support network might look different. That said, if you do take MJ or similar but still don't have time to prepare healthy food etc, you won't automatically lose a lot of weight or transition to better habits, so that's something to consider too.
Hope I've not come across as too smug - I have so much empathy for anyone who puts on more weight than they would like and for how hard even 2 stone can be to lose, and frankly if it were simple to address without help, everyone would be slim. Whatever you choose, I hope you don't judge yourself or get judged by the people around you. Whether you pay for the drugs or not, you won't lose weight without giving it some thought and time and energy, which your family need to appreciate!