There is a reason that the client testimonials whmcs admin module will not allow you to enter the ' character after a word.
This is NOT a bug, it is part of the Anti-SQL injection protection.
The only way a ' can be input after a word is to add a backshash first. So for the word "that's" this would look something like this that\'s so it is not a bug, just part of the protection to stop people trying SQL-INJECTION on your database.
So to input reviews from the admin module you will have to put \' for the ' character.