I think #4 is my favorite here, though I also particularly like #3 and #7 too.
In #4, the juxtaposition of dualities (ground/sky, temporal/eternal) is the most distinct of the 7 haiku here. The way you bring the two spatial points together in the middle line (the ground, the sky), heightens or emphasizes the contrast, or makes it really stark. At the same time, breaking the tradition of 'cutting' at the end of the line in haiku and instead placing the division inside the line, bringing the two together, shows that the two are One. Very Zen. ... I like how the word 'near' adds near/far to the dualities lined up on either side of the comma in the poem. It functions to tells us where the speaker is in relation to the fallen home, but you could also have just said 'at' (doesn't sound as good, that's also true), and contrasts with the distant stars. ... The word 'shaken' is another great choice, I think, because it eludes to the awe-struck feeling a mortal can have in the face of eternity. ... I'm not sure about the word 'fallen', because it brings the idea of falling stars, and if you read the middle line as a standalone unit of meaning, it says the stars were shaken to the ground. Which suggests to me that my interpretation is way off and there might be something deeper going on here. Or perhaps you meant the cutting word to be 'stars', the division between temporal/eternal to really be at the end of the line.
In #3, I like the literal/figurative double meaning in the last line. I can also personally relate to it, since I have a window that has gone unwashed since this summer because a loved one left a fingerprint heart and lip prints on it. :)
And in #7, it is amazing how much the utterance 'ahh' conveys! It is both an epiphany and an expression of contentment and relaxation; it tells us exactly what the speaker is doing, lounging in the sun. So fascinating that this information is only shared in those three letters.
Good stuff!
RE: a heart melts