Uh… yes. 
I went for a few calligraphy classes in primary school, and I bought a calligraphy book to improve my Chinese handwriting before coming to France for higher education. I guess that helped. My hand was shaking a little when I did the second half.
Now then, I guess I’ll take sentence 3:
③ 容疑者もやけどをして病院に入院していて、ベッドに寝たまま警察に運ばれました。
suspect [inclusion] burn [object] do-TE hospital [location/direction] enter-hospital do-continuous-TE, bed [location] sleep-past state police [agent] transport-passive-polite-past
The suspect also sustained burns and has been admitted to hospital, and was transported by the police while remaining in bed.
容疑者: 者=person; 容=contain/enclose; 疑=suspicion. Somebody who ‘contains’ suspicion is thus a suspect.
やけど: the kanji are 火傷 (=fire-injury), but it’s supposed to mean 焼け処 (still pronounced やけど. I think ど is from どころ, which is a form of ところ=place). 焼ける means ‘to be burned/roasted’. It’s the transitive version of 焼く(yes, the kanji is still read as や). Think yakiniku(焼肉). Or 日焼け(ひやけ)=a sunburn. Thus, the suspect got burnt in the fire. The phrase for ‘to sustain burns’ is やけどをする.
入院していて: I believe the て-form of the continuous tenses (していて) is used because the suspect was still hospitalised when the police picked him up. Hence, we need to use していて to show that it was an ongoing state. (It’s also possible that he was still in hospital when this article was written.)
ベッドに寝たまま: literally ‘(in the) state of having slept in bed’, but it seems ねる can literally just mean ‘to lie down’, especially in the sense of ‘to lie in bed while sick’.
運ばれました: the base verb is はこぶ. It’s a godan verb (i.e. the verb stem changes for different forms), so we remove the U at the end and add ‘-areru’. はこばれる is an ichidan verb (i.e. the verb stem doesn’t change), so we can just remove the る for conjugation and add the past form of ます, which is ました.