Is 你今天早上怎麼樣? or 你這個早上怎麼樣? okay for asking "How are you this morning?" and Is "Ni jin tian zao shang zen me yang?（你今天早上怎麼樣？）" ok? 

Can we also say, "Ni zhe ge zao shang zen me yang? （你這個早上怎麼樣？）" because we do say, "Ni zhe ge xing qi zen me yang? （你這個星期怎麼樣？）" for how are you this week..
没有这个问法，一般工作环境会问“早上好”，不会问“你早上怎么样？”

Chinese people do not say it like this; they always say 早上好 (zǎoshang hǎo) = "morning" or 你早上怎么样？(Nǐ zǎoshang zěnme yàng?) = "good morning".