Does my Logo Design convey my message?

Logo is an identity of any company or business. It does reflect the vision, direction and goal of any company so it must convey yours message.

Either the logo words or letters are easily recognizable?

Its very much important of any logo the typography should very much prominent. You don't need to explain yours logo for people.

Are the colors of my logo are appropriate?
Colors help logo to look more beautiful and attractive. Colors are the energy of any logo. Different colors have different meaning and it's directly effects on your audience. So you should be careful in time of choosing colors.