Muslims believe that mankind sins through either their own lust and desires, or through whisper of Shaytan (satan) to make us sin, or a combination of both.
Muslims and Christians do not worship Adam. They believe he was the first man created by God, and was sent to Earth when he disobeyed God. Christians believe we carry his sin; this is called the "original sin". Muslims believe Adam sinned and that God forgave him. Muslims don't believe that sins are inherited.
No, Muslims do not believe that the sin of Adam was passed on to his offspring.Muslims believe that they are responsible for their own actions only, not that of Adam. Some Muslims believe Adam did sin and was forgiven.However a large section of Muslims believe that Adam never sinned. He was given two choices, and choose the lesser good, known in philosophy as "Tark E Awla".They argue that God never forbade Adam from eating, but only suggested it best not to do so.You can read more about Adam and Tark e Awla at the link noted below.
According to the holy Qur'an, shirk is the geratest and unpardonable sin.
It is regarded as a sin. Hence, you will be a sinner
Muslims believe in Allah
Muslims believe that any unsocial behaviour is a sin. As such, there is a long list of sins. So much so that playing music loud and disturbing others is also a sin. But the major sins are murder, fornication, telling a lie, adultry, eating pork, drinkling alcohol, associating partners with Allah, and not offering prayer or not fasting. The minor sins, as I said, are too numerous to be mentioned but use common-sense as every deed harming others is a sin.
If you believe in sin, yes. Anything which could lead you to be intolerant or hateful, or consider yourself better than others for any reason, is not good.
YES Muslims believe in heaven and in Hell.
Mainly,Muslims believe that Jesus (PBUH) is one of the great prophets and God Messengers. Most Christians believe he is God or son of God.Muslims believe that Jesus was not crucified but lifted bodily by God Miracle to the Heavens. Christians believe he was crucified.Muslims don't believe in Jesus as the savior and believe that every one is responsible of his own deeds in front of God; the Creator. Christians believe that Jesus is the human savior of human sins.Refer to related question below.
yes there is sometimes a good reason for people to sin
Muslims believe that prejudice is wrong and that you should not pre judge people
Yes, Muslims believe in creation. However, Muslims believe also in evolution but not as Darwin claiming in his theory. Evolution is the way God created in His creatures to adapt with changes in environment. Muslims believe that man is created by God and that man is not an evolution of monkey as Darwin claiming.