Hi Marney...
If you have .sql (dump) files, you have basically NO problem because you backuped the entire database... and you will be able to reimport all data in your new platform. As LimeSurvey have no feature to reimport a dump file, you have to achieve this via the phpmyadmin (or similar) interface.
The following process will restore your previous database: I assume that you want to recreate 100% of your previous installation, not only reimport this specific survey with related submitted responses. (If not you have to change somehow this method, for example if you have change admin/users credentials in your new platform and don't want to overwrite this with data of your old platform)...
As shown on the screenshot (sure you will also find some tutorials on Youtube):
1) select the database (left sidebar)
2) open SQL tab and paste the content of your .sql file
3) Click [Go] to run your (big) query
Remember that your 2 installations
have to use same Limesurvey version (not 1.90 one and the other 2.06 ). If you need to update, just install the same LS version, import your db, and update when 100% ok...
About LS export files:
.sql: Full database (including general conf, users, surveys, responses, etc.)
.lss: Survey structure; No responses (= desactivated survey)
.lsa: Activated survey; Includes responses. Only aavilable for recent LS versions