Vince - I was able to produce the following offset for your drawing without any problem. In LCAM go into the Setup Function and select "Loading Functions - AutoClean Settings. In that screen you will see a section labled "Connection Line Tol. Used to Optimize." I set this to .01 for this drawing (the setting can be adjusted to accommodate other drawings and needs). A large setting for the here will result in your "slices," being joined which makes offsetting a problem. For the offset I used a .125 endmill and assumed you wanted to offset to the inside of your spokes.
Although I did not cut the project, I did use LCAM to produce the code. It appears to be right. LCAM did produce one errant circle that had to be edited out. The entire project, loading into LCAM, changing the Optimize setting, offsetting, generating the code, and editing the final gcode took about 5 minutes.
Don't know if this will help or not. But, I have used LCAM to produce some very complicated pieces and felt tackling your problem would be fun.
Good luck with your project. Post a completed picture when you are done.
Bob@BobsShop