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It already is a verb. Situation would be its noun.
Yes, situate does have a suffix. -Ate is the suffix of situate.
The verb for "situation" would be "to situate."
The noun forms of "situate" are "situation" and "situationality."
The abstract noun form for the verb to situate are situation and the gerund, situating.
I'm curious why you chose to situate yourself at the back of the room vs. the front of the room.
The participles for the verb to situate are not normally used as adjectives, so there are no adverb forms. The related noun situation has the adjective form situational and the adverb situationally.
The abstract noun of "situate" is "situation," which refers to the set of circumstances or surroundings in which something is positioned or located.
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The word situation is a noun. A situation is a problem or circumstances that pose a problem.
Here are two sentences using the word 'situate': "The council plan to situate the new houses in the empty fields." "To make sure the camera works, you must situate it firmly on the tripod."