How to tell GNU screen to run .bash_profile in each new window

I think you may be running into several issues.

If the command finishes before you re-attach, the screen will go away. You can demo this by using:

screen -d -m ls -l

It will run the ls -l command, but screen -list won't show it as the screen process has ended.

I also have no idea what you are trying to do with this \015 stuff. Perhaps updating your question would help, as what I think you're trying to do is run multiple commands in a screen session. This should be as simple as:

screen -d -m bash -c "command1 ; command2 ; command3"

If these are used a lot, perhaps you should make a shell script that runs just these commands, then use a more simple:

screen -d -m /path/to/script.sh

Edit:

Here's what worked for me:

• My ~/.bashrc sets TERM=xterm (mine happens to be TERM=xterm-256colors) overriding screen's TERM=screen
• I set PuTTY > Terminal > Features > Disable Application cursor keys mode to checked
• I enter tput smkx at the Bash prompt

• Now Ctrl-Arrow keys jump word-by-word

• For informational purposes, if I do:
  tput smkx | hexdump -c
  I get
  0000000 033 [ ? 1 h 033 =
  and
  tput rmkx | hexdump -c
  gives me
  0000000 033 [ ? 1 l 033 >

I think there's a way to rework this into something a little better, but it's what I've got so far and it seems to work.

Original answer:

From info screen:

Each window in a `screen' session emulates a VT100 terminal, with some extra functions added. The VT100 emulator is hard-coded, no other terminal types can be emulated.

And VT100s don't have Ctrl-Arrow keycodes.