Probably violating no laws since Ohio has a Concealed Carry Reciprocity Agreement with Michigan
Ohio has reciprocity agreements with the following states.
Alaska Arizona Arkansas Delaware
Florida Idaho Kentucky Louisiana
Michigan Missouri Nebraska New Mexico
North Carolina North Dakota Oklahoma South Carolina
Tennessee Utah Virginia Washington
West Virginia Wyoming
Also, since Applebee's serves liquor, note the following:
Forbidden carry zone
• Licensed Class D liquor permit premises if you are consuming beer or intoxicating liquor or are under the influence. If you are
not consuming, you may carry unless there is a conspicuous sign prohibiting carry. Possession of a concealed rearm is allowed in a retail store
with a D-6 or D-8 permit as long as the concealed carry licenseholder is not consuming liquor. Class D permits are generally issuedto an establishment that sells alcohol for consumption on the premises.
In any event, do not consume beer or intoxicatingliquor before carrying a concealed handgun into a licensed premises.