Do I answer NO for question "Have you ever been arrested or convicted
for any offense or crime, even though subject of a pardon, amnesty, or
other similar action?
Você precisa responder SIM, o que é a verdade.
Can they check my biometric of U.K. ? My UK visa is in my old passport
and if I don't show the old passport they wouldn't know I lived in UK
right?
Sim, eles podem verificar no entanto, isso não significa que eles vão. Saiba que os EUA e o Reino Unido compartilham informações sobre imigração e aplicação da lei mais de perto do que qualquer outro país. Veja Cinco Olhos . Não tente ser inteligente ou astuto. Eles têm ou podem ter acesso a mais informações sobre você do que você sabe.
Dito isso, um simples crime de furto em lojas não necessariamente o torna inadmissível para os EUA. Do que você diz, é muito possível (sem mais informações) sua ofensa pode cair em exceção (ii). No entanto, você precisará de todos os documentos de disposição relacionados à sua prisão / cobrança para solicitar o visto.
Leia Quais são as chances de um visto americano se eu tiver um registro criminal?
Ineligibilities and Waivers: Laws
(i) In general.-Except as provided in clause (ii), any alien convicted
of, or who admits having committed, or who admits committing acts
which constitute the essential elements of-
-
(I) a crime involving moral turpitude (other than a purely political
offense) or an attempt or conspiracy to commit such a crime, or
(II) a violation of (or a conspiracy or attempt to violate) any law or
regulation of a State, the United States, or a foreign country
relating to a controlled substance (as defined in section 102 of the
Controlled Substances Act (21 U.S.C. 802)), is inadmissible.
(ii) Exception.-Clause (i)(I) shall not apply to an alien who
committed only one crime if-
(I) the crime was committed when the alien was under 18 years of age,
and the crime was committed (and the alien released from any
confinement to a prison or correctional institution imposed for the
crime) more than 5 years before the date of application for a visa or
other documentation and the date of application for admission to the
United States, or
(II) the maximum penalty possible for the crime of which the alien was
convicted (or which the alien admits having committed or of which the
acts that the alien admits having committed constituted the essential
elements) did not exceed imprisonment for one year and, if the alien
was convicted of such crime, the alien was not sentenced to a term of
imprisonment in excess of 6 months (regardless of the extent to which
the sentence was ultimately executed).