I definitely understand the busy part; it's not always easy to get in and adequate amount of studying/practice but we'll make it work.
Yea I wouldn’t put too much stock in the online sim for 100% accuracy practice for the real test. I would just use it as a way to feel comfortable with the concept of these tests if that makes a sense? Instead just really pay attention to the instructions provided on the test, you have plenty of...
www.airwarriors.com
If you check on the link above, it'll take you to a post I made a few days ago about some links that will allow you to access more study material for the ASTB. Plus I'm sure there are other materials in the forum as well; but I believe I covered the majority of them in my post (in the link I posted above.)
I'm also shooting for SNA. I scored 43 5/7/6 my first try; so with a little bit more focus on the areas I didn't do so well on the test, God willing, I'll be able to bump up my scores. And for you, 5/6/5 is not too far off from getting all 7's for immediate select, for SNA. If you managed to do so while being active duty and being a dad on top of it all, a little more studying will definitely get you the 7s you need. I'd recommend studying whenever you can. I'd shot for 2 hours and least 5 times a day, especially on the areas that you know you struggled on after your first attempt on the ASTB. And if possible, study more on the weekend. Take breaks when necessary as well. Lastly, make sure not to neglect brushing up on the areas you did well on the test. The last thing you want is to show up to your second attempt and you do poorly on the areas you did well the first time around. I hope this helps. Lmk if the links don't work.