I haven't had any other complaints about the Express Checkout button at the top of the checkout page, and I can't reproduce that on my own test servers. There must be something unique about your theme and its checkout page, or maybe another plugin you have enabled, or something that is conflicting. I could help you track it down, but I would need you to submit an order for premium support for that.
To start, though, you could just try another basic theme and see if the problem goes away, and then try to disable other plugins and see if the problem goes away, then re-enable one at a time until it comes back. Then you'd know the culprit.
As for the PayPal image, we are aware of that problem and it's already been resolved on our GitHub repo, but I haven't had a chance to fully test it and merge it into our dev branch (which is fully tested stuff that be included in the next official release) as of yet.
So the next update will include a fix for that. In the mean-time, you could adjust that image path directly in the plugin code if you're comfortable with that. You can see that GitHub link and look at the code revision for details on what you would need to adjust. Again, though, if you want help with that you could order premium support.
I'm going to go ahead and mark this resolved here, but let me know if you have any other questions, and keep your eye out for the update to resolve that image ssl issue.