Man of Honour
No. Juno was the goddess of wealth because she was the goddess of fertility, and fertility and wealth are much the same thing in an agricultural society.
If that was the case, their goddess of wealth would have been Ceres since she was associated with fertility in agricultural terms. Juno was associated with marriage and childbearing, but the aspect of her that was associated with money was Juno Moneta, an aspect specifically about money.
It had nothing to do with women's control of the domestic domain, nor did Roman women have any special control of the finances: the men worked so they would often gave money to their wives to pay for things, no more.
Yes more. Traditionally Roman women generally ran households, which included day to day control of household assets, hiring staff, artisans, etc, buying slaves...everything that was needed. The men were traditionally supposed to be handling politics and business, not managing the household. In some cases, the man might not even be there (e.g. he might be serving a term of office that kept him away from home). Sometimes women owned the house, the land, businesses, etc, although until the later republican period women weren't officially allowed to run a business directly and had to use a male proxy.