To answer the question of whether or not UAH's license for MATLAB covers Research use, please refer to the Program Offering Guide (attached). It is the best reference for these type of questions – page 21 in particular defines Academic use and excludes commercial use in line that’s 4th from the bottom:
“Academic Internal Operations” means the use of the Programs by enrolled students, employees (faculty and academic staff), and other academic staff (including visiting professors and researchers), provided that such other academic staff have been granted institution email accounts and internal network login privileges by the Licensee. Such use must be in accordance with the Educational Institutions License Use acquired, for the purpose of (i) in the case of employees and other academic staff, performing software administration, teaching, and non-commercial, academic research in their ordinary course; and (ii) in the case of enrolled students, meeting classroom requirements of courses and study offered by the Licensee. Academic Internal Operations includes Data Center Use as described in Part One, Section 2.2(iv) above.”
The other file attached to this KB provides the most current list of MathWorks products that are included with UAH's Campus Wide License for MATLAB software.