We researched your account and see that the two text messages you are referring to were actually requested by you. They were requests for verification codes for two-factor authentication to log into your account. You can choose a text or an automated phone call to receive the code. Generally texts are going to be cheaper than a phone call, but you can choose whichever you prefer. Customer Support Reps can send a text if it's requested, but would not do so unless that's what you were calling for help with.
Here is more information:
HomeAway Community Manager