Yes, there is no god except one God (Allah in Arabic). Allah (God in English) is the one and only one God, with no partner, no son, no companion, no associate, and no resemblance.
Refer to related question below on who is Allah..
God (Allah in Arabic) is the Creator. Prophet Muhammad is God prophet per God revelation of Quran to him through the angel Gabriel (Jibril). However, it is to be emphasised that prophet Muhammad is a human who is inspired by God.
Yes, he was Muslim. He died before birth of prophet Muhammad (PBUH). Accordingly, Prophet Muhammad's father died before the prophesy of prophet Muhammad and before God revelation of Quran to Prophet Muhammad (PBUH). However, his father was believing in God (Allah). His father name is Abdullah which is an Arabic name that means 'slave of Allah (God)'.
No, The name of the father of prophet Muhammad (PBUH) is 'Abdul Allah' that means in English 'the servant (or slave) of Allah' No one on earth can be named by Allah (name of God in Arabic).
Islam religion per God Quran revelation to prophet Muhammad is founded by Allah (God in English and same God in Christianity and Judaism) and not prophet Muhammad (peace be upon him). Prophet Muhammad is the God Messenger and prophet who conveyed God message to his followers. Refer to related question below
He was chosen by Allah (God).
It was not by prophet Muhammad (PBUH) choice but per God (Allah in Arabic) command to him. It was to honor prophet Muhammad, to confirm support to him, and to strengthen the faith of his followers. refer to related question below.
The name of Muslims Prophet is Prophet Muhammad P.B.U.H their god is Allah
"Allah" is Arabic for "God", translated literally as "The Deity". Prophet Muhammad (peace and blessings be upon him) was one of His messengers.
Shahadah is the first pillar of Islam. It is the basic belief of the Muslims. It is essential for a Muslim to declare from the core of his heart: "There is no god, but Almighty God (Allah), Who is the Sole Creator, Sustainer, Provider, and Ruler of all the worlds, having no parents, no off-spring, no Son, No Associate whatsoever. He and He deserves worship. Hazrat Muhammad )SAW) is the last Prophet of Islam.
Muhammad is Allah (God in English) messenger to call for the Islam religion per God revelation of Quran to him through the angel Gabriel (jibril). The founder of Islam is God (Allah in Arabic. Refer to question below for more information.
Both prophets Jesus and Muhammad (Peace be upon them) called for worship of God (Allah in Arabic) as the one and only one God with no partner, no son, no associate, and no companion.
I think your confused The Prophet Muhammad(peace be upon him) is the messenger and prophet of Allah, Allah is the One True God.