Hi everyone,

This is my first typewriter restoration -- never even used a typewriter before so be gentle! 

Problem:  None of the keys move the cylinder from right to left.

Background:  I replaced, successfully I think, the main drawstring with fishing wire, drum was rotated 5 times to ensure adequate torque.  When carriage release pressed it now zings along from right to left with a ding at the end.   I have wd40'd the escapment mechanism to try and make it slick and it appears to move nicely left to right when the carriage release is on.

The carriage lock is not on and the margin release key is fully up, the margin stops are at each end of the margin stop rod.

Oddities which could be related and give some clue:
1) Backspace when pressed moves the carriage in right direction but does not hold position (no click of escapment).
2) Space bar does not move carriage left, hitting on a saw tooth.
3) When release carriage, it needs a nudge to the right before it zings over to the left.
4) When I lock the carriage and it moves to the center, it initially stops bang on the center but given a little jog when I let go and it moves a few mm to the left, as if the sawtooth has moved slightly.
5) When I use my finger to push the bar that the space bar is supposed to move, the mechanism is blocked by the current sawtooth of the escapement from moving below it to release it.  When I move the carriage slightly to the right, it can then drop below the sawtooth and the carriage then moves to the left (in an uncontrolled manner). 

Current hypothesis:  something wrong with escapement sawtooth mechanism, perhaps out of alignment somehow.   Here is a good diagram of what it looks like
myoldtypewriter.files.wordpress.com/2015/05/part.jpg?w=646
the bottom bit though (cross shaped piece in middle bottom of image) seems to rest slightly off 90 degrees -- don't know if this is correct or not). 
Related to my second oddity, when space bar is pressed it tried to lower the cross shaped piece below the escapement sawtooth, but it hits the sawtooth and so cannot "click".

For reference I have a Corona 4 which looks identical underneath to typewriterdatabase.com/img/g2533_5468__5468_1401502556.jpg
This is a pretty good view similar to my machine as well (myoldtypewriter.wordpress.com/category/corona-4/).

Have focused on the space bar and backspace as I figure if I can get those working then the other keys should work, does this sound a good plan?

All help really appreciated as am at a complete dead end of things to poke at.

Thanks