You better heat this all up before you try to remove the glue strips. Mine broke off right away and then (after heating) you have to pry up the whole battery (mine was discharged completely so less risk) which tends to be glued so tightly that it all bents (not very safe for a Lithium Ion battery!).
Non of this is mentioned (or photographed) in any of the instructions and it takes some review of the old assembly on how to make the new one to look the same. Just a note, the assembly of the Lightning Connector and Headphone Jack / New / Black assembly with the Headphone Jack Interconnect Cable, will look different from the original assembly, but is functionally the same (and you can tell). This was very frustrating, but the other parts of the instructions are very very good!
Works well all they way until the end. The instructions for installing the replacement lightning assembly are worthless, because the new assembly looks different and requires at least one, but probably really two, additional parts (luckily I had already ordered these in anticipation). You need to order for sure order the iPhone 5s Headphone Jack Interconnect cable (item 124027-1) and very likely the iPhone 5s Microphone Gasket (item 124047-1), because the new 5s Lightning Connector and Headphone Jack / New / Black (item 124010-1) doesnt' have the interconnect cable (and the old assembly had this molded in, so it is not removable) and the microphone has glue on the back of the flex cable, so it is likely not easily removable from the old microphone gasket (I didn't even try) and it is better to insert it in a new one. Also, as mentioned by others, several other parts (tape and a metal clip assembly) have to be recovered from the old assembly and reused.