As far as the handlebars go, I don't even see 130mm of drop and no more than about 75mm reach in your photo. They may come shorter and shallower than that but not a lot, at least road bars anyway. There are several companies that make riser bars for road bikes, Specialized is one @1.5cm higher and others that are 2cm higher. Bar width also affects how far you have to lean over to get into the drops or on the hoods. Too wide and your hands are further apart, causing you to lean forward further.
The Rise of Riser Drop Bars - Slowtwitch.com
Here's the thing about the internet. Both the questioner and respondents only have what's typed on the page. No one on the internet can tell you if your shoes fit, only you can say for sure. An angled stem, maybe some riser bars of the appropriate width and some specific exercises to strengthen your lower back and core muscles is what I'd do. By far, the biggest impediment to getting help on the internet is that many folks pose questions seeking validation of the answer they've already decided on.