1.A 首先：選On是對的,在早晨：In the morning
但是在具體的某天早晨,就要用On.英語里表示具體的某一天就要用On.
第二個選項：注意一個動詞show,它后面可以接雙賓語：如：show me （間接賓語）a picture（直接賓語）.
注意這段話：（來自語法書）有些動詞接間接賓語時,把間接賓語放到后面去,不過其前面要加to,這類動詞有 accord advance award bring deal forward give grant band lease lend loan mail offer owe pass pay play post read rent repay sell send serve show sing take teach tell write 等.
所以就改為：show a picture to me.
你的文中是 show their mourning to joe 也可說成 show joe their mourning.
那么什么情況下用for呢?（來自語法書）
有一些動詞,也可以接雙賓語,但把間接賓語放在后面時,要改由for引導(dǎo)的短語,這類動詞有 book bring build buy cook cut design fetch find fix get leave make mix order paint pick play prepare reserve save set sing spare 等
2.A move+someplace 年月前用in 而上一天是具體的某年某月某日所以要用on