I need someone to correct this, Thank you
1. Doyōbi ni, watashi wa uchi kara Marang ni ikimasu
2. Tomodachi to Kenjerang tāminaru e ikimasu
3. Kenjerang tāminaru de, watashi wa kōkyō no kuruma bunggurashī de sagashimasu
4. bunggurashī tāminaru de, kōkyō no kuruma Marang de sagashimasu
5. Kenjerang kara Bunggurashī made 35 fun gurai kakarimasu
6. Doyōbi ni, Bunggurashī tāminaru de totemo nigiyaka na
7. Jōkyaku to basu o machimasu
8. Gogo 4 ji ni basu ni tsukimasu
9. Surabaya kara Marang made 3 jikan gurai kakarimasu
10. Arujosari tāminaru de, kōkyō no kuruma daigaku ni sagashimasu

in sentence "atashi wa kōkyō no kuruma Marang de sagashimasu", i don't know how to say correctly "I'm looking for a public transportation to reach Malang" in japanese
sentence "Jōkyaku to basu o machimasu", I want to say that "I'm waiting a bus with other passenger"
lastly, in sentence "Arujosari tāminaru de, kōkyō no kuruma daigaku ni sagashimasu", I mean that "In terminal Arjosari, i'm looking for a public transportation to reach Malang University"

Question

I need someone to correct this, Thank you
1. Doyōbi ni, watashi wa uchi kara Marang ni ikimasu
2. Tomodachi to Kenjerang tāminaru e ikimasu
3. Kenjerang tāminaru de, watashi wa kōkyō no kuruma bunggurashī de sagashimasu
4. bunggurashī tāminaru de, kōkyō no kuruma Marang de sagashimasu
5. Kenjerang kara Bunggurashī made 35 fun gurai kakarimasu
6. Doyōbi ni, Bunggurashī tāminaru de totemo nigiyaka na
7. Jōkyaku to basu o machimasu
8. Gogo 4 ji ni basu ni tsukimasu
9. Surabaya kara Marang made 3 jikan gurai kakarimasu
10. Arujosari tāminaru de, kōkyō no kuruma daigaku ni sagashimasu

in sentence "atashi wa kōkyō no kuruma Marang de sagashimasu", i don't know how to say correctly "I'm looking for a public transportation to reach Malang" in japanese
sentence "Jōkyaku to basu o machimasu", I want to say that "I'm waiting a bus with other passenger"
lastly, in sentence "Arujosari tāminaru de, kōkyō no kuruma daigaku ni sagashimasu", I mean that "In terminal Arjosari, i'm looking for a public transportation to reach Malang University"

Answer

ちょっとだけ答えます。
Public transportation is 公共交通機関(こうきょうこうつうきかん, ko-kyo-ko-tsu-kikan)
"I'm looking for a pulic transportation to reach Marang." is "Marang made(no) ko-kyo-ko-tsu-kikan o sagashite imasu."
"Marang made ko-kyo-ko-tsu-kikan wa arimasu ka." is ok too.

Answer

You wrote very good. However, I have a question. Why did you write it in roma-ji? I think you've already known at least hiragana. If so, using them is much better for you. If not, I'd really like to recommend you to learn it first.