Good evening Mike and welcome back!
Thank you for reaching out to us.
I would love to help you with this topic.
That pairing of versions is perfect.
However, I would still advise making a complete database backup beforehand.
Moreover, it is worth testing the updates at length (preferably in a staging/testing environment) first in case there are any issues with your WordPress theme or another plugin.
One thing I am noticing is that your version of PHP is getting quite old.
You might consider getting at least 5.4+ (in fact WordPress recommends 7+) to avoid any undesired behaviour.
Let me know how that goes.
Best regards,
Geoff B.