You may OC or CC in a place that has a liquor license, as long as you have a CPL. You must OC with a CPL if the place makes most of the money from alcohol sales by the glass, consumed on the premises. There is no 51% rule, that is a myth.
(d) A bar or tavern licensed under the Michigan liquor control code of 1998, 1998 PA 58, MCL 436.1101 to 436.2303, where the primary source of income of the business is the sale of alcoholic liquor by the glass and consumed on the premises. This subdivision does not apply to an owner or employee of the business. The Michigan liquor control commission shall develop and make available to holders of licenses under the Michigan liquor control code of 1998, 1998 PA 58, MCL 436.1101 to 436.2303, an appropriate sign stating that "This establishment prohibits patrons from carrying concealed weapons". The owner or operator of an establishment licensed under the Michigan liquor control code of 1998, 1998 PA 58, MCL 436.1101 to 436.2303, may, but is not required to, post the sign developed under this subdivision. A record made available by an establishment licensed under the Michigan liquor control code of 1998, 1998 PA 58, MCL 436.1101 to 436.2303, necessary to enforce this subdivision is exempt from disclosure under the freedom of information act, 1976 PA 442, MCL 15.231 to 15.246.
OC in/on vehicle
As has been pointed out, a motorcycle is defined as a vehicle, and carrying in or on a vehicle is considered concealment, and requires a CPL. You can be charged with a DUI on a bicycle, therefore you can be charged with a CCW on one. It may or may not stick, but the case would be expensive, and risky.
750.227 Concealed weapons; carrying; penalty.
Sec. 227.
(1) A person shall not carry a dagger, dirk, stiletto, a double-edged nonfolding stabbing instrument of any length, or any other dangerous weapon, except a hunting knife adapted and carried as such, concealed on or about his or her person, or whether concealed or otherwise in any vehicle operated or occupied by the person, except in his or her dwelling house, place of business or on other land possessed by the person.
(2) A person shall not carry a pistol concealed on or about his or her person, or, whether concealed or otherwise, in a vehicle operated or occupied by the person, except in his or her dwelling house, place of business, or on other land possessed by the person, without a license to carry the pistol as provided by law and if licensed, shall not carry the pistol in a place or manner inconsistent with any restrictions upon such license.
(3) A person who violates this section is guilty of a felony, punishable by imprisonment for not more than 5 years, or by a fine of not more than $2,500.00.