Can I sue if I fell in a hospital parking lot due to ice on the stairs causing rib and spine injuries?

You have bad injury or just seeing what your possibilities are? you will have to show the conditions, how long they existed, that the hospital knew and had time to fix it and did not, then prove that you did nothing to contribute to the problem see a lawyer and review all the facts.

Possibly, depending on whether someone was obligated to alleviate the ice.

You always have a right to sue, and if a jury thinks they were being unreasonable by not putting salt on the stairs, then you'll probably recover something.

Your injuries do not constitute much of a claim for damages.

Under Michigan law, you have the burden of proving ALL of the following: 1) there was a defect. 2) the property owner knew about it in advance, or that it existed for an unreasonably long period of time. 3) that you COULD NOT DISCOVER THE PROBLEM prior to the accident. 4) that the accident was a direct and proximate cause of your injuries. If the ice was due to Mother Nature, then you will likely lose because nature is spontaneous and the property owner might not know about the defect in time to fix it before you came along. However, if the ice is due to an ongoing and recurrent problem with the property which resulted in the formation of ice at that location, then you might be successful in your claim.

You may have a premises liability ("slip and fall") case, depending on the specific, detailed facts involved. Contact an injury lawyer to discuss your potential case.