The lease provisions are found in the Servicemember's Civil Relief Act. Here is a simplified explanation:
Servicemembers Civil Relief Act (SCRA)
Not sure this will apply to you, your orders may or may not qualify depending on what happens. What you should do is go to Legal Assistance to ask about this, this is the kind of stuff they do all the time. Plus there may be state law protections that can also help you.
It seems with a RILO you are more likely to remain on active duty. This is a good thing for your benefits; if you can make it to 20 years, you will be eligible for Concurrent Retirement and Disability pay (basically you will be able to double dip on military retirement and VA compensation).