Negative.
He's known as "the first samurai" because after helping his cousin through the Gempei Wars he was betrayed because he could have overthrown him (if he wanted). He was the first to committ seppuku, and pwns all.
Minamoto yoritomo was the first ever shogun in japan
Minamoto Yoritomo was never referred to as Shogun during his lifetime. Minamoto Sanetomo was the first man to be recognized as shogun during his actual lifetime.
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A civil war between the Taira and Minamoto clans
In real life the Taira and the Minamoto clans were the two strongest clans of the 4. The other two were the Tachibana clans and the Fujiwara clans.
The emperor was too indulged in court life.
Lika Minamoto is 170 cm.
Minamoto no Yoshishige died in 1202.
Minamoto no Yoshishige was born in 1135.
Minamoto no Kanetsuna died in 1180.
Minamoto no Mitsuyuki was born in 1163.
Minamoto no Mitsuyuki died in 1244.
Minamoto no Kintada was born in 889.
Minamoto no Kintada died in 948.
Minamoto no Muneyuki died in 983.
Minamoto no Shunrai died in 1129.
Minamoto no Tsunemoto was born in 894.