haber o tener

level 1, 6.6,  very nicely explains the contexts to use conocer and saber; could someone explain the contexts to use haber and tener, por favor!

Tener is a verb used to mean "to have." Tengo una resfriado. I have a cold. ¿Tienes dinero? Do you have money?

Haber also means have, but is used as an auxiliary with the past participle of other verbs
meaning to have done or seen or felt, etc.: He tenido un resfriado por 2 semanas. I have had a cold for 2 weeks ¿Has sacar dinero del banco? Have you withdrawn money from the bank?

I don't know if you can think about tener and haber as verbs that mean the same things in different contexts like conocer/saber or ser/estar. 

I need to do a little more research, but it seems to me that there are certain cases in which they are interchangeable.  I will do my research and get back with you.
 

tienes que estudiar = has de estudiar = you have to study

Juan ha cocinado el pollo=Juan tiene cocinado el pollo=John has cooked the chicken

Juan hubo/había cocinado el pollo=Juan tuvo/tenía cocinado el pollo=John had cooked the chicken

Although you can say Juan ha cocinado you can not say ​Juan tiene cocinado.  ​A object is required.  Also when using tener, the number and gender must be reflected in the participle.

​Juan tiene comidas las manzanas
​Ellos tienen abierta la puerta.

I hope this helps.