I think banning them from doing Calm or Influence checks is a bit too much; in my mind it pushes them a bit too far into Orc territory as well it makes the PC have to have being raised by Orcs as a background (I consider being prohibited from making influence or calm checks to be more of a cultural inheritance than a genetic one). Maybe give them light sensitive instead? You might also consider giving a -1 modifier to intelligence or something similar as well.
Well I have to explain that Orcs in my world don't suffer light issue. They are more akin to Orcs from Warcraft than Tolkien. My orcs also do not automatically suffer in Intelligence, instead gaining the Attributes of "+2 Any, +2 Constitution, -2 Any" which allows for a wide range of talents among orcs. They are also the inventors of Black Powder in my world.
They do however, have an innate tendency toward conflict similar to the Orcs of "that other game" and are modeled in many ways after Klingons (as are Warcraft orcs). An orc's banned actions are not so much a cultural aspect as a simple part of their genetics. As an example, I look to the Klingons of the Star Trek universe. Their tendencies toward conflict and inability to harness rage are a racial trait, not cultural. This is shown often through Worf, Alexander and K'Ehleyr with some other insights from other klingons. Worf teaches that a Klingon must learn to control their rage, that discipline is a learned trait. K'Ehleyr who is only half Klingon, explains how difficult it is for her to contain the beast within and often struggles with controlling the rage of her Klingon blood, having even more difficulty than Worf. Alexander too, shows an inability to control the Klingon rage.
However, with that said, it is a very Campaign specific vision. As you state the Banned Action could be removed, though I feel it should be replaced with another negative that is consistent to the campaign's vision of orcs. Keep in mind however, that from a design perspective "Banned Actions" are worth less than many other restrictions. According to my notes, equivalent "point value" restrictions could be:
* -1 to the Lower of 2 Attributes
* Achilles Heel
* -2 to 1 Save category
* -5 ft to Base Speed
* 1 Impaired Sense
* -1 Appearance