My question is what is recommended in the morning when one first wakes up to get some heat going other than just a good routine.
In my practice the Morning Series is what I do after I center and do a brief 4 minute opening. The opening is designed to prepare the body from head to toe for the asana practice to follow. The Morning Series is designed to awaken the connective tissue in the back body in order to prepare the body for the day.
Classical Surya Namaskar follows. Then if I am doing a standard practice, standing poses, inversions, twists, and backbends. If I am doing a more specialized practice obviously a different sequence would be substituted here.
There are two other things that jump out at me in your post.
The first is that it appears you are taking things from here and from there and perhaps doing so without contact hours with a teacher. While variety is very important in order to discern what is suitable for you and your living it can also make the practice muddled and confusing. Ergo it has to be watched (by you) quite carefully.
The second is that you’ve mentioned back pain (a grossly general term) BUT there’s very little work in what you’ve shared that opens the hamstrings or balances the hip complex. True there are several poses which REQUIRE open hip flexors. But when such poses are done AND there is no opening in the aforementioned muscle group back pain and damage are completely expected as the body is not appropriately prepared for the doing.
Please have your teacher assess your back pain, align your postures, and provide you some things you can take away with you in order to prevent back pain.
warmly,
gordon