However, it's also true to say that NuBSG didn't treat the original female characters with any kind of respect. Athena, Cassiopeia, Serena, and Sheba were largely absent in anything resembling their original forms.
Did the original
BSG treat them with any kind of respect, though? Serena was killed off very early and rarely mentioned thereafter. Athena gradually faded into the background and was dropped altogether in the latter part of the season. Sheba was supposed to be a tough fighter pilot, but she was played as a simpering, whiny love interest most of the time. And Cassiopeia had the potential to be something intriguing -- like Firefly
's Inara, a sex worker in a society where the profession was legal and respected -- but due to the network's fear of that idea, she was hastily retconned into a nurse and was basically just there to be a love interest for Starbuck.
The one thing about the original BSG that impressed me where its treatment of women was concerned was that it didn't go for cheesecake and skimpy outfits the way something like TOS did. There were a couple of early scenes where we saw women in flesh-toned leotard-like undergarments that made them look scantily clad but were actually all-concealing, but after that they were usually fully clothed, and it was the men who occasionally lost their shirts or played sports in gratuitously scanty attire.
use Masterson when dealing with phaser repairs
Do you mean Charlene Masters?
I don't think any reboot is going to please everybody but the Trek fan base is big. There are plenty of vocal objections to reboot we have now. Some people even cared that Pine's eyes were the 'wrong' colour.
Sheba used to annoy the hell out of me because she always looked like she was about to burst into tears. However, you've hit the nail on the head with the ways that modern writers could have updated a character like Cassiopeia (although they would no doubt be accused of making an Inara knock off). Athena tended to be generic fighter pilot for the latter episodes with no dialogue of any note from what I recall. Same with Trek's women - they would not be hard to modernise but the writers would have to respect their contribution to the story as it can be today instead of leaving them to dole out coffee, hyposprays, and glimpses of leg for their unrequieted loves.
NuBSG wasn't faultless though. Duala was a third tier character but she had her moments in seasons 1 and 2. In later episodes she was relegated to a tiresome love triangle plot. She had a couple of cracking scenes with Adama in season one but despite them having a closer relationship in the later seasons we never got a single scene of them together where they could build on those early scenes. It was such a waste!
I always get Masters' name wrong. But yeah - plenty of plots involve fixing phasers. Why not use her?