start problems


hello whats up guys and girls i have a daihatsu rocky 1986 2.8 diesel non turbo, the engine its well taking care of and very clean. i know its an old truck but i just bough a new battery and when i start it up specially in the morning it takes a few attemps to fire on, now my question is: its that because its an old car, do i have to buy new alternator and starter, or its something completly normal. please let me know. thanks