Frank, I feel for you. Personally, I have a hard time recommending a new ME on Creo parametric specially if they don't have a mentor or proper training.
As a new customer, many VARs also offer a PTC University primer that does better than the free tutorials. It is actually well organized. I came back to PTC after a long time on Unigraphics NX. I updated my maintenance and received Creo 1.0 and 1 year of PTC University basic level.
What I don't see if comprehensive detail drawing training. This is becoming a lost art. But I fully understand you anxiety on this one. I stayed back on Creo 2.0 for this very reason. They experimented with a new UI on annotation and not only a few of us have openly stated that it missed the mark. For seasoned users, it is still fully functional if you get past the new UI.
USE YOUR SUPPORT CASES! When something is not working, submit a support case! You paid for this in Maintenance. USE IT!
And as you come up with what is keeping you from getting your job done, post here concisely what the problem is. If so desired, submit a support case at the same time. Often the forum will give you guidance before the support case has replied but it will give you two perspectives. Tech support has a way of finding some really obscure solutions to known Creo issues.
As for your management... yep, updating your resume may be useful, not because of Creo, but because of their attitude. Seriously, every upgrade from a known package required a 1 day session to understand the differences. A new package will require a training period. And Creo's learning curve is already pretty steep.
Find out if you have access to the free PTC University from your VAR. Tell your management that you require a reasonable training session. PTC will give you quote.
Otherwise, just stick with it. Creo really is a lot more powerful than the tools you've used. I just added SolidWorks to my resume and I can tell you that Creo is leaps and bounds more capable as soon as you veer from basic geometry.
Last but not least, feel free to post files here if you would like a simple review. Just activate the advanced editor here in the reply UI.